12/10 (457) Triangle Proportionality

Front

What is Triangle Proportionality?

Back

Triangle Proportionality states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

If AB || DE, what can be said about the ratios of the segments created on the sides of the triangle?

Back

Front

What is the significance of parallel lines in triangle proportionality?

Back

Parallel lines create similar triangles, which allows for the use of proportional relationships to solve for unknown lengths.

Front

How do you determine if two lines are parallel in a triangle?

Back

Two lines are parallel if the corresponding angles formed by a transversal are equal.

Front

What is the formula for finding the length of a side in a triangle using proportionality?

Back

Front

Back

Front

What does it mean if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are proportional, meaning the ratios of corresponding sides are equal.

Front

How can you use triangle proportionality to find a missing length?

Back

Set up a proportion using the known lengths and solve for the unknown length.

Front

What is the first step in solving a triangle proportionality problem?

Back

Identify the parallel lines and the segments they create on the triangle.